Question

find the value of m if 2^m-3=1

Answer 1

${2}^{(m - 3)} = 1 \\ \\ {2}^{(m - 3)} = {2}^{0} \\ \\ bases \: are \: same \: \: \: \: so \: exponents \: are \: \\ \: equal \\ \\ m - 3 = 0 \\ \\ m = 3$

Answer 2

Solution :
    Here, 
 2^{m} - 3 = 1
or, 2^{m}  = 1+3
or, 2^{m}  = 4
or, 2^{m}  = 2²
        Hence, m = 2